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Simulating transient flow in unsaturated porous media using finite-difference modeling

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The purpose of this study concerns the establishment of numerical model of transient flow in a variably saturated porous medium. Groundwater flow can only be studied adequately if one considers the fluxes between the saturated and the unsaturated zones through the free surface. However, this water table undergoes variations in level resulting either from losses of mass by gravity drainage or evaporation or from an excess of mass by infiltration from the surface of the porous medium. This describes the various phenomena that groundwater flow can undergo, such as gravity drainage, infiltration and evaporation. The adopted model is based on the Richards equation, which is a parabolic and strongly non-linear equation. The h-based form of the Richards equation is solved numerically by using the 1D upwind finite difference method. Referring to published experimental work and comparing our numerical results with their results, we have obtained a good fit. The importance of this model lies in its simplicity and its generality in treating the different flow states in a variably saturated porous medium, and therefore its usefulness in practice for a wide range of applications, contributing significantly to the understanding of transient flow phenomena in variably saturated porous media. Its capacity to address the complexities of groundwater movement, including gravity-driven drainage, infiltration, and evaporation, underlines its versatility and its potential to make meaningful contributions to various scientific and engineering fields.
Rocznik
Tom
Strony
247--258
Opis fizyczny
Bibliogr. 13 poz., rys.
Twórcy
autor
  • Civil Engineering and Environmental Laboratory LGCE Sidi Bel Abbes University, 22000, Algeria. Department of Science and Technology University Center of El-Bayadh 32000, El-Bayadh, Algeria
Bibliografia
  • Baca R.G., Chung J.N., Mulla D.J. 1997. Mixed transform finite element method for solving the nonlinear equation for flow in variably saturated porous media. International Journal for Numerical Methods in Fluids, 24(5), 441–455.
  • Bastian P., Helmig R. 1999. Efficient fully-coupled solution techniques for two-phase flow in porous media. Parallel multigrid solution and large scale computations. Advances in Water Resources, 23, 199–216.
  • Baver L.D., Gardner W.H., Gardner W.R. 1972. Soil Physics. 4th ed. John Wiley & Sons.
  • Beliaev A.Y., Schotting R.J. 2001. Analysis of a New Model for Unsaturated Flow in Porous Media Including Hysteresis and Dynamic Effects. Computational Geosciences, 5, 345–368.
  • Bennacer L., Ahfir N.-D., Alem A., Huaqing W. 2022. Influence of Particles Sizes and Flow Velocity on the Transport of Polydisperse Fine Particles in Saturated Porous Media: Laboratory Experiments. Water Air Soil Pollution, 233, 249.
  • Bergamaschi L., Putti M. 1999. Mixed finite element and Newton type linearizations for the solution of Richards equation. International Journal for Numerical Methods in Engineering, 45(8), 1025–1046.
  • Gardner W.R. 1958. Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table. Soil Science, 85, 228–232.
  • Haverkamp R., Vauclin M., Touma J., Wierenga P.J., Vachaud G. 1977. A comparison of numerical simulation models for one-dimensional infiltration. Soil Sci. Soc. America J., 41, 2, 285–294.
  • Helmig R., Huber R. 1998. Comparison of Galerkin-type discretization techniques for twophase flow in heterogeneous porous media. Advances in Water Resources, 21, 697–711.
  • Khire M.V., Benson C.H., Bosscher P.J. 1997. Water Balance Modeling of Earthen Final Covers. Journal of Geotechnical and Geoenvironmental Engineering, 744–754.
  • Liakopoulos A.C. 1965. Theoretical solution of the unsteady unsaturated flow problems in soils. Bulletin International Association of Scientific Hydrology.
  • Rybak I., Magiera J., Helmig R. 2015. Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Computational Geosciences, 19, 299–309.
  • Shah S.S., Mathur S., Chakma S. 2022. Numerical modeling of one dimensional variably saturated flow in a homogeneous and layered soil–water system via mixed form Richards equation with Picard iterative scheme. Model, Earth Syst. Environ. https://doi.org/10.1007/ s40808-022- 01588-z
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b4c250f6-52bd-4b0a-90f6-5e70ecb8bd23
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